Question

here is an equation.
2x - 1 = 5
draw a graph to help solve the equation. then find the solution to the equation.
solution: x = \square

Explanation:

Step1: Rearrange to isolate $2x$

Add 1 to both sides:
$2x - 1 + 1 = 5 + 1$
$2x = 6$

Step2: Solve for $x$

Divide by 2 on both sides:
$\frac{2x}{2} = \frac{6}{2}$
$x = 3$

Step3: Graph for verification

To graph, rewrite as two lines:

1. $y = 2x - 1$ (linear line with slope 2, y-intercept -1)
2. $y = 5$ (horizontal line)

Their intersection is at $x=3$, $y=5$, confirming the solution.

Answer:

$x=3$